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Finding the Fourth Proportional to 33,455, 46,175.10 and 20,029.26

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Solution

The fourth proportional to 33,455, 46,175.10 and 20,029.26 is: 27,644.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,455 : 46,175.10 = 20,029.26 : x
  2. Step 2: Convert to fraction form
    33,455/46,175.10 = 20,029.26/x
  3. Step 3: Cross multiply
    33,455x = 46,175.10 × 20,029.26
  4. Step 4: Simplify right side
    33,455x = 924,853,083.43
  5. Step 5: Solve for x
    x = 924,853,083.43/33,455
  6. Step 6: Final answer
    x = 27,644.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.